# Coupling finite volume-lattice Boltzmann methods for advanced heat transfer simulations

## TL;DR

This paper introduces a new framework that combines two simulation methods to improve heat transfer modeling in complex thermal flows.

## Contribution

A novel coupling framework combining FVM and LBM with improved stability and accuracy for thermal flow simulations.

## Key findings

- The central-moments-based collision operator improves numerical stability and accuracy.
- The coupling framework shows excellent numerical accuracy and convergence in benchmark and melting scenarios.

## Abstract

We present a high-performance coupled framework that advances the integration of the finite volume method (FVM) and the lattice Boltzmann method (LBM) for multi-physics thermal flow simulations, including heat conduction, conjugated heat transfer, natural and forced convection, and phase change. The proposed scheme employs a central-moments-based collision operator for both velocity and temperature fields, substantially improving numerical stability and accuracy over traditional approaches within the LBM community. The reconstruction strategy, combining regularised and high-order truncated equilibrium methods, ensures smooth and accurate data exchange at FVM–LBM coupling interfaces. The implementation employs the Parallel Location and Exchange coupling library, enabling efficient and scalable communication between the FVM and LBM. Validation against standard benchmark problems and complex melting scenarios demonstrates excellent numerical accuracy and convergence. These algorithmic advances establish the proposed framework as a significant step forward in coupled FVM-LBM methods for multiscale thermal flow problems.